Below is the PSPP analysis for ages (in years) of all 50 headsof households in a small Nova Scotian fishing village. Refer to thePSPP outputs below and answer the related questions.
| Variable | N | Mean | Std Dev | Minimum | Maximum |
| Age | 50 | 47.18 | 14.89 | 23.00 | 81.00 |
a) Interpret the standard deviation of age in the context of thisstudy.
b) Suppose that we take a random sample of 36 heads ofhouseholds. What would the sample data distribution tend toresemble more closely – the sampling distribution or the populationdistribution? Briefly Explain.
c) What do you expect for the mean of sample means in the longrun of repeated samples of size 36?
d) What do you expect for the standard deviation of sample meansin the long run of repeated samples of size 36? Show your work.
e) Explain the difference between a sample data distribution andthe sampling distribution of sample mean.
f) Suppose that for a random sample of heads of households, weget a mean of 44.22, and standard deviation of 14.73. Beforeobserving the sample, find the probability that our sample meanfalls within 2.48 of the population mean. Interpret the result inthe context of this problem.
